Finding the Third Proportional to 55,692 and 123,806.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,692 : 123,806.25 = 123,806.25 : x
2. Step 2: Convert to fraction form
   55,692/123,806.25 = 123,806.25/x
3. Step 3: Cross multiply
   55,692x = 123,806.25 × 123,806.25
4. Step 4: Simplify right side
   55,692x = 15,327,987,539.06
5. Step 5: Solve for x
   x = 15,327,987,539.06/55,692
6. Step 6: Final answer
   x = 275,227.82